Side-to-side Tiling of the Sphere by Congruent Curvilinear Triangles

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Keyi Jin, Linming Lu, Erxiao Wang, Lijuan Wu, Min Yan
Cited by: 0

Abstract

The edge-to-edge tilings of the sphere by congruent polygons, where all edges are straight, have been completely classified. We classify the curvilinear version of the similar triangular tilings, where the edges may not be straight, and find that these are the modifications of the straight triangular tilings.

Fields of Study & Subjects

Mathematics and Applications Geometric and Algebraic Topology Computational Geometry and Mesh Generation

Publication details

Journal / source
arXiv (Cornell University)
Publication date
13 January 2026
Document type
Preprint